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arXiv · 1212.5147

Spectral curves for Cauchy-Riemann operators on punctured elliptic curves

Christoph Bohle·Iskander A. Taimanov
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Abstract

We show that one can define a spectral curve for the Cauchy-Riemann operator on a punctured elliptic curve if one imposes appropriate boundary conditions. Algebraic curves of the type thus obtained appear as irreducible components of spectral curves of minimal tori with planar ends in R^3. It appears that these curves coincide with the spectral curves of certain elliptic KP solitons as studied by Krichever.

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Christoph Bohle, Iskander A. Taimanov. 2012-12-20. Spectral curves for Cauchy-Riemann operators on punctured elliptic curves. https://arxiv.org/abs/1212.5147

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